159667485120 has 1344 divisors, whose sum is σ = 681073795584. Its totient is φ = 35095265280.

The previous prime is 159667485091. The next prime is 159667485139. The reversal of 159667485120 is 21584766951.

It is a happy number.

159667485120 is a `hidden beast` number, since 1 + 5 + 96 + 67 + 485 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 922933354 + ... + 922933526.

It is an arithmetic number, because the mean of its divisors is an integer number (506751336).

Almost surely, 2^159667485120 is an apocalyptic number.

159667485120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159667485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340536897792).

159667485120 is an abundant number, since it is smaller than the sum of its proper divisors (521406310464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159667485120 is a wasteful number, since it uses less digits than its factorization.

159667485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 159667485120 in words is "one hundred fifty-nine billion, six hundred sixty-seven million, four hundred eighty-five thousand, one hundred twenty".